Quantum Approximate Optimization Algorithm pseudo-Boltzmann states [article]

Pablo Díez-Valle, Diego Porras, Juan José García-Ripoll
2023 accepted
In this letter, we provide analytical and numerical evidence that the single-layer Quantum Approximate Optimization Algorithm (QAOA) on universal Ising spin models produces thermal-like states. We find that these pseudo-Boltzmann states can not be efficiently simulated on classical computers according to the general state-of-the-art condition that ensures rapid mixing for Ising models. Moreover, we observe that the temperature depends on a hidden universal correlation between the energy of a
more » ... te and the covariance of other energy levels and the Hamming distances of the state to those energies.
doi:10.1103/physrevlett.130.050601 pmid:36800450 arXiv:2201.03358v3 fatcat:4ie4mtnimrhrfet3zargitbqt4